Atkin-Lehner |
3- 5- 17- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
68085l |
Isogeny class |
Conductor |
68085 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
375480945225 = 38 · 52 · 172 · 892 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 0 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13622,-607804] |
[a1,a2,a3,a4,a6] |
j |
383432500775449/515063025 |
j-invariant |
L |
0.88390758014375 |
L(r)(E,1)/r! |
Ω |
0.44195378680785 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
22695d2 |
Quadratic twists by: -3 |